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Omega (Greek letter)

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Omega (uppercase Ω, lowercase ω) is the 24th and last letter of the Greek alphabet.[1] In the Greek numeric system, it has a value of 800. Pronounced [ɔ:] or 'aw' as in 'raw'.[2][3]

Symbol uppercase Ω

Astronomy

  • density of the universe, also referred to as the cosmological density parameter. with components of mass density, ΩM, and vacuum energy density, ΩL.[4][5][6]

Chemistry

  • designation for the last carbon on the chain in a fatty acid

Electricity

  • Ohm: SI unit of electrical resistance
  • Siemens (unit), abbreviated S, is the reciprocal of the ohm.

Mathematics

  • Omega constant (Lambert’s W function)[7]
  • Chaitin’s constant: the probability that a randomly selected valid program string is interpreted by a halting

term[8]

  • Calculus: a 2-D region
  • A theoretical measure of the execution of an algorithm, (e.g. required time or memory) given the problem size n (e.g. the number of items).[9]
  • Stochastic process[10]

Meteorology

  • Used to designate vertical motion in the atmosphere[11]

Statistics

  • Sample space
  • Set of possible outcomes

Literary

  • End or last thing in a series[12]

Physics

  • Solid angle or rate of precession in a gyroscope[13]
  • Omega baryons (particle physics)
  • Negatively charged elementary particle with a mass 3270 times the mass of an electron.[14]
  • Omega minus b: a very short-lived unstable meson with mass 1532 times the mass of an electron (aka omega meson)[15]

Symbol lowercase ω

Mathematics

  • The set of all natural numbers[16]

References

  1. Greek Omniglot
  2. IPA pronunciation chart for English equivalentsGreek alphabet pronunciation and languageOmniglot
  3. Omega pronunciation Ancient Greek tutorials, UC Berkeley
  4. [1] Meteorite Book, Northern Arizona University
  5. Curvature Astrophysics
  6. Cosmological curvature Cosmology
  7. [2] Wolfram Math World
  8. [3] School of Computer Sciences, Carnegie Mellon University
  9. [4] National Institute of Standards and Technology
  10. Formal definition and basic properties Stochastic process
  11. [5] JetStream – Online school for weather, National Weather Service
  12. [6] Ask Oxford
  13. [7]Wolfram Math World
  14. [8] Merriam Webster Online
  15. [9] Merriam Webster Online
  16. Notation Natural number